The Multimode Conductance Formula for a Closed Ring

Abstract

The multimode conductance of a {\em closed} ring is found within the framework of a scattering approach. The expression can be regarded as a generalization of the Landauer formula. The treatment is essentially {\em classical} because we assume short coherence time. Our starting point is the Kubo formalism, but we also use a master equation approach for the derivation. As an example we calculate the conductance of a multimode waveguide with an attached cavity.

18 pages, 2 figures, Sections 1 and 6 extended, to be published in Journal of physics A

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Cited by in corpus (4)

• Quantum stirring of particles in closed devices
• Rate of energy absorption by a closed ballistic ring
• Random-matrix modeling of semi-linear response, the generalized variable range hopping picture, and the conductance of mesoscopic rings
• The conductance of a multi-mode ballistic ring: beyond Landauer and Kubo